6788577006 has 64 divisors (see below), whose sum is σ = 15780234240. Its totient is φ = 2159166240.

The previous prime is 6788577001. The next prime is 6788577017. The reversal of 6788577006 is 6007758876.

6788577006 is a `hidden beast` number, since 67 + 8 + 8 + 577 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788577001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516391 + ... + 529373.

It is an arithmetic number, because the mean of its divisors is an integer number (246566160).

Almost surely, 2^6788577006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6788577006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890117120).

6788577006 is an abundant number, since it is smaller than the sum of its proper divisors (8991657234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6788577006 is a wasteful number, since it uses less digits than its factorization.

6788577006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13438 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 6788577006 is about 82392.8213256471. The cubic root of 6788577006 is about 1893.4750327958.

The spelling of 6788577006 in words is "six billion, seven hundred eighty-eight million, five hundred seventy-seven thousand, six".